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Collaborative Research: Entanglement, Geometry and the Physics of Fields, Strings and Gravity

合作研究：纠缠、几何以及场、弦和重力的物理

基本信息

批准号：
2112729
负责人：
V Nair
金额：
$ 74.5万
依托单位：
CUNY City College
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2021
资助国家：
美国
起止时间：
2021-09-01 至 2024-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2112729&HistoricalAwards=false
关键词：
Collaborative Research Entanglement Geometry Physics

项目摘要

This Collaborative grant funds the research activities of Professors Sebastian Franco, Parameswaran Nair, and Alexios Polychronakos at the City College of New York, and Professor Daniel Kabat at the Lehman College of New York. In this research project, Professors Franco, Nair, Polychronakos, and Kabat will explore two fundamental concepts. The first of these is "entanglement". This refers to the surprising correlations between measurements carried out far from each other (sometimes referred to as "quantum weirdness” or "spooky action at a distance”). The second of these is the curvature of space and time, which is the source of gravitational forces according to Einstein’s theory of gravity. The PIs will strive to relate and unify these concepts by establishing connections and developing new mathematical tools. These concepts will be explored in quantum field theory, the fundamental structural framework for describing all known particle interactions, and in string theory, the most promising direction for a full unification of quantum mechanics with gravity. The results will be applicable to a wide variety of physical systems including elementary particles, quantum fluids, and gravity. This research will advance the national interest by maintaining US preeminence in the exploration and understanding of physical laws, the central goal of all research in physics. The project will also involve graduate students, providing crucial research training for young scientists. Undergraduate students, especially from underrepresented groups, will be integrated into various aspects of the research, thereby further broadening the societal impact of this project.More technically, the research by Professors Sebastian Franco, Parameswaran Nair, Alexios Polychronakos, and Daniel Kabat involves the use of a number of new theoretical techniques, developed by the PIs and collaborators, and applied to a variety of problems of current interest including entanglement in field theory, gauge field dynamics, supersymmetry breaking, dualities, and bulk reconstruction in AdS/CFT. Advances in one aspect will inform developments in another since, remarkably, there is a common thread of similar underlying mathematical and theoretical tools. Some of the topics will be of direct relevance and proximity to observations, such as supersymmetry breaking and quantum fluids, while other topics are focused on deeper conceptual and mathematical questions, such as bulk reconstruction in the holographic AdS/CFT correspondence.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该合作拨款资助纽约城市学院 Sebastian Franco、Parameswaran Nair 和 Alexios Polychronakos 教授以及纽约雷曼学院 Daniel Kabat 教授的研究活动。在这个研究项目中，Franco、Nair、Polychronakos 和 Kabat 教授将探讨两个基本概念。第一个是“纠缠”。这是指在相距很远的地方进行的测量之间令人惊讶的相关性（有时称为“量子怪异”或“幽灵般的远距离作用”）。第二个是空间和时间的曲率，根据爱因斯坦的引力理论，它是引力的来源。 PI 将努力通过建立联系和开发新的数学工具来关联和统一这些概念。这些概念将在量子场论（描述所有已知粒子相互作用的基本结构框架）和弦理论（量子力学与引力完全统一的最有希望的方向）中进行探索。结果将适用于各种物理系统，包括基本粒子、量子流体和重力。这项研究将通过保持美国在探索和理解物理定律方面的领先地位来促进国家利益，而物理定律是所有物理学研究的核心目标。该项目还将涉及研究生，为年轻科学家提供重要的研究培训。本科生，特别是来自代表性不足群体的本科生，将融入研究的各个方面，从而进一步扩大该项目的社会影响。从技术上讲，Sebastian Franco、Parameswaran Nair、Alexios Polychronakos 和 Daniel Kabat 教授的研究涉及使用由 PI 和合作者开发的许多新理论技术，并应用于当前的各种问题。兴趣包括场论中的纠缠、规范场动力学、超对称破缺、对偶性以及 AdS/CFT 中的体重建。一方面的进步将为另一方面的发展提供信息，因为值得注意的是，相似的基础数学和理论工具有一个共同的线索。一些主题将与观测直接相关和接近，例如超对称破缺和量子流体，而其他主题则侧重于更深层次的概念和数学问题，例如全息 AdS/CFT 通信中的体重建。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查进行评估，被认为值得支持标准。